TL;DR
This paper proves a decomposition theorem for the quantum cohomology D-module of blowups of smooth projective varieties, using shift operators and Fourier analysis in equivariant quantum cohomology.
Contribution
It introduces a new decomposition theorem for quantum cohomology of blowups, advancing understanding of their algebraic structure.
Findings
Decomposition theorem for quantum cohomology D-module of blowups
Application of shift operators and Fourier analysis techniques
Enhanced understanding of quantum cohomology structure in blowups
Abstract
We prove a decomposition theorem of the quantum cohomology D-module of the blowup of a smooth projective variety X along a smooth subvariety Z. The main tools we use are shift operators and Fourier analysis for equivariant quantum cohomology.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Algebraic Geometry and Number Theory · Advanced Algebra and Geometry